NY- Gap-toothed Giant Michael Strahan says he’ll never marry again.

The sack king, in the midst of his second bitter divorce and reeling from a remark his wife made about his “alternative lifestyle,” discussed his marriage and his sexual preferences yesterday during a brief phone call to WBLS/107.5 FM radio personality Wendy Williams.

“I think marriage is a great thing, but unfortunately my marriage didn’t work. I don’t think I would marry another woman again,” he said.

When Williams asked “how you doin” – street talk for “are you gay?” – Strahan answered, “If this were true, it would hit the fan from the get go.”

“I have plenty of friends that are bi or homosexual. It’s fine with me. This is New York City. If you can’t accept people for being people, then you have no business being here.”

“I don’t frown on anybody for that lifestyle, it’s not my lifestyle. And you know, I just laugh. All that matters is that I’m gonna take care of my kids.”

No mention was made of his first wife and their two kids, whom his former mother-in-law accused of abandoning – until he bought a house for them recently in Houston.

Nor did he say how he was going to take care of his twin 19-month-old daughters by his second wife, Jean.

He couldn’t recall their birth date during his divorce trial testimony Tuesday, but he knew the date yesterday.

“October 28 is my girls’ birthday,” he told Williams. “I knew our anniversary [July 18]. I didn’t know my wife’s birthday [March 25],” he said of his testimony.

Asked about his newest sweetie – “America’s Next Top Model” winner Eva Pigford (first reported in yesterday’s Post) – he said, “If I’m with Eva Pigford or some other girl next door it’s nobody’s business. What I do is my personal life.”

He said he didn’t want to discuss his relationship with Pigford “because the New York Post always seems to know things that myself or only Jean would know . . . Only The Post would say that I didn’t know the kids’ birthday, the Daily News wouldn’t.” The comment about his kids’ birthday was made in open court Tuesday.

Strahan’s on-air call to the station came while Williams was interviewing his good friend, TV commentator Dr. Ian Smith.

Strahan’s wife Jean dropped a bombshell Tuesday – telling reporters that after her marriage fell apart, her husband moved in with Smith and the two enjoyed an “alternative lifestyle” together. Asked if Smith was his best friend, Strahan told Williams, “he’s one of them.”

As for his wife’s suggestive remark that he had stayed with Smith “in his one-bedroom apartment,” Strahan said, “When I had to stay somewhere, he opened his door. It’s not that I couldn’t stay at any hotel I want.”

Asked if the newlywed Smith’s wife was there at the time, he said, “yes.”

Smith, during his interview, questioned Jean Strahan’s mental health.

“This is obviously a very, very disturbed person,” he said, adding that he’s concerned about what will happen to Strahan’s daughters “when they are old enough to read that their mother said all these inaccurate things about their father.”

After his radio show call, Strahan, wearing a long-sleeved white T-shirt and shorts, jogged from his Greenwich Village apartment to the nearby apartment of Smith’s twin brother, Dana, a fashion executive, and the two continued on to the Crunch gym on Christopher Street.

They split up briefly when a Post photographer approached.

Inside the gym, Strahan refused to answer questions from a Post reporter who was lifting weights nearby.

“Keep reading about it in your own paper,” he said.

When pressed, he snarled, “Enjoy your workout,” and returned to his lifting partner, Dana Smith.

Earlier in the day, Jean Strahan’s lawyer tried to put a different spin on her client’s “alternative lifestyle” swipe at her husband. Jean was just saying that her husband began dating after he left her, attorney Ellen Marshall insisted.